Two large plane conducting plates of area are placed parallel to each other at a…
PHYSICS · Multi-part · CBSE · Physics · Electrostatic Potential and Capacitance · Electrostatic Potential and Capacitance
Problem
Two large plane conducting plates of area A are placed parallel to each other at a separation d in vacuum. The plates are given equal and opposite surface charge densities +σ and −σ.
(i) Derive the magnitude and direction of the electric field in the region between the plates in terms of σ and ε0. Ignore the region outside the plates.
(ii) Using the result of part (i), obtain an expression for the potential difference V between the plates in terms of σ, d and ε0.
(iii) Hence show that the capacitance of this arrangement is C=dε0A. Clearly state each step of your reasoning.
(iv) If the plate separation is doubled while the charge on each plate remains unchanged, by what factor does the potential difference change? Justify your answer.